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Finding the Third Proportional to 718,708 and 1,197,742

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Solution

The third proportional to 718,708 and 1,197,742 is: 1,996,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,708 : 1,197,742 = 1,197,742 : x
  2. Step 2: Convert to fraction form
    718,708/1,197,742 = 1,197,742/x
  3. Step 3: Cross multiply
    718,708x = 1,197,742 × 1,197,742
  4. Step 4: Simplify right side
    718,708x = 1,434,585,898,564
  5. Step 5: Solve for x
    x = 1,434,585,898,564/718,708
  6. Step 6: Final answer
    x = 1,996,062.24

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.